Use an Euler diagram to determine whether the argument is valid or invalid.All rock stars are performers.Therefore, Mauricio is a performer.

A. valid
B. invalid


Answer: A

Mathematics

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Solve the problem.A swimming pool has a rectangular base 12 ft long and 24 ft wide. The sides are 6 ft high, and the pool is half full of water. How much work will it take to empty the pool by pumping the water out over the top of the pool? Assume that the water weighs 62.4 lb/ft3. Give your answer to the nearest ft ? lb.

A. 161,741 ft ? lb B. 121,306 ft ? lb C. 242,611 ft ? lb D. 323,482 ft ? lb

Mathematics

Give an appropriate answer.Given the function f(x, y) and the positive number ? as in the formal definition of a limit, find a positive number ? as in the definition that insures  < ?.f(x, y) = ; ? = 0.03

What will be an ideal response?

Mathematics

Use the integral test to determine whether the series converges.

A. converges B. diverges

Mathematics

Fill in each blank with the appropriate response.The graph of y = -6(x - 2)2 + 8 can be obtained from the graph of y = x2 by shifting horizontally  units to the , vertically stretching by a factor of , reflecting across the -axis, and shifting vertically -10.0px;" /> units in the  direction.

A. 2; right; 6; x; 8; upward
B. 2; left; 6; x; 8; upward
C. 2; right; 8; y; 6; downward
D. 2; right; 8; x; 6; upward

Mathematics